Circle 2 Question 18
19. A circle touches the line $L$ and the circle $C _1$ externally such that both the circles are on the same side of the line, then the locus of centre of the circle is
(a) ellipse
(b) hyperbola
(c) parabola
(d) parts of straight line
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Answer:
Correct Answer: 19. (c)
Solution:
- Let $C$ be the centre of the required circle.
Now, draw a line parallel to $L$ at a distance of $r _1$ (radius of $C _1$ ) from it.
Now, $\quad C C _1=A C \Rightarrow C$ lies on a parabola.
